{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "3D forward modeling of total-field magnetic anomaly using triaxial\n",
    "ellipsoids (model with isotropic and anisotropic susceptibilities)\n",
    "\"\"\"\n",
    "# insert the figures in the notebook\n",
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "from fatiando import utils, gridder\n",
    "import triaxial_ellipsoid\n",
    "from mesher import TriaxialEllipsoid\n",
    "import plot_functions as pf\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.ticker import MaxNLocator\n",
    "from matplotlib.colors import BoundaryNorm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# The regional field\n",
    "F, inc, dec = 23500., 30, -15\n",
    "\n",
    "# Create a model formed by two ellipsoids\n",
    "# The first ellipsoid does not have remanent magnetization and\n",
    "# has an anisotropic susceptibility (different principal susceptibilities\n",
    "# k1 = 0.3, k2 = 0.2, k3 = 0.1). \n",
    "# The second has a remanent magnetization of 2 A/m\n",
    "# and an isotropic susceptibility of (all principal susceptibilities\n",
    "# equal to 0.01)\n",
    "model = [TriaxialEllipsoid(-2500., -2500., 1000., 900., 600., 300., 45., -10., 34.,\n",
    "                           {'principal susceptibilities': [0.3, 0.2, 0.1],\n",
    "                          'susceptibility angles': [-20., 20., 9.]}),\n",
    "         TriaxialEllipsoid(2500., 2500., 1000., 950., 640., 600., 45., 62., -7.,\n",
    "                           {'remanent magnetization': [1.2, 90, 0.],\n",
    "                          'principal susceptibilities': [0.01, 0.01, 0.01],\n",
    "                          'susceptibility angles': [13, 50, 7]})]\n",
    "\n",
    "# Create a regular grid at 0m height\n",
    "shape = (200, 200)\n",
    "area = [-5000, 5000, -5000, 5000]\n",
    "xp, yp, zp = gridder.regular(area, shape, z = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 loop, best of 3: 604 ms per loop\n"
     ]
    }
   ],
   "source": [
    "# Time execution of the function triaxial_ellipsoid.tf\n",
    "%timeit triaxial_ellipsoid.tf(xp, yp, zp, model, F, inc, dec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Calculate the total-field anomaly\n",
    "tf = triaxial_ellipsoid.tf(xp, yp, zp, model, F, inc, dec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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LgE2zDYfyZHIQD2/trC3K7kJfP/ruefzv7503Y9nqVSv7veQ04OsDVntHj+VX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\nB7CZmVkJHMBmZmYl+H9++wJOtQq++wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x16c21710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the results\n",
    "plt.close('all')\n",
    "plt.figure()\n",
    "plt.axis('scaled')\n",
    "\n",
    "ranges = np.max(np.abs([np.min(tf), np.max(tf)]))\n",
    "levels = MaxNLocator(nbins=20).tick_values(-ranges, ranges)\n",
    "cmap = plt.get_cmap('RdBu_r')\n",
    "norm = BoundaryNorm(levels, ncolors=cmap.N, clip=True)\n",
    "\n",
    "plt.contourf(0.001*yp.reshape(shape), 0.001*xp.reshape(shape),\n",
    "             tf.reshape(shape), levels=levels,\n",
    "             cmap = cmap, norm=norm)\n",
    "plt.ylabel('x (km)')\n",
    "plt.xlabel('y (km)')\n",
    "plt.xlim(0.001*np.min(yp), 0.001*np.max(yp))\n",
    "plt.ylim(0.001*np.min(xp), 0.001*np.max(xp))\n",
    "cbar = plt.colorbar()\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NPZ+cNHzLtwxuZaosa+HKFcXzz3s8/7ym0Vg5LpTLcP31cOiQxfPcaMUky5Sp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\nq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G0lectY4C2g6twB1yWo1YBqlXhqrc1+thKbNkls3gyMjOh69pCtHIawhAmyiFyMt4As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5Xk8aPlutua7Vpo/rwoRzjjff/A48702YpgXGvKAkSrV+yGBj4o6g56mHHwNj9aRlif97qsyR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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1741c0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close('all')\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "ax = fig.gca(projection='3d')\n",
    "\n",
    "ranges = np.max(np.abs([np.min(tf), np.max(tf)]))\n",
    "levels = MaxNLocator(nbins=20).tick_values(-ranges, ranges)\n",
    "cmap = plt.get_cmap('seismic')\n",
    "norm = BoundaryNorm(levels, ncolors=cmap.N, clip=False)\n",
    "\n",
    "cs = ax.contour(xp.reshape(shape), yp.reshape(shape), tf.reshape(shape),\n",
    "                zdir='z', offset=0, cmap=cmap, norm=norm, levels=levels,\n",
    "                linewidths=2)\n",
    "\n",
    "#cbar = fig.colorbar(cs)\n",
    "\n",
    "for m in model:\n",
    "    pf.draw_ellipsoid(ax, m, body_color=(1,1,0), body_alpha=0.3)\n",
    "\n",
    "ax.set_xlabel('x (m)')\n",
    "ax.set_ylabel('y (m)')\n",
    "ax.set_zlabel('z (m)')\n",
    "\n",
    "ax.view_init(215, 20)\n",
    "\n",
    "plt.tight_layout(True)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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